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I need to research more about this game strategies, but I don't know what is its name in English.

The game is like this (the gadget is just named Picture Puzzle):

Game image

The objective is to slide the blank cell to the lower-right cell.

What exactly is its name? And is it considered a board-game?

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Looks like the objective is to solve the puzzle. – Callithumpian May 5 '12 at 13:21
@Callithumpian Yeah, I forgot to mention it. I think it is pretty popular thought. Bad thing is, in my language, there is no word to describe that game, we just call them like "Picture Puzzle" :( I need a exactly name, so that I can use Google to research more about it. – DatVM May 5 '12 at 13:23
This belongs on Arqade. – zzzzBov May 5 '12 at 18:01
@zzzzBov: just because there are videogame implementation of this game, it does not really classify it as a videogame. I think it is on topic here, as it is a request for an English word. I think noone would vote to close if the question was, for instance, "what is the name of that game where you jump over a rope?". – nico May 6 '12 at 8:47
up vote 17 down vote accepted

These are sliding puzzles.

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The "15 puzzle" since in the 1880s popular version the tiles were numbered 1 to 15 ... LINK
enter image description here

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In French we call it Jeu de Taquin.

This name is internationally (so in English) used by mathematician to describe problems similar to the one your game raise.

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Other people that sell these call them sliding tile puzzles.

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